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13027781286 = 2341313074733
BaseRepresentation
bin11000010001000010…
…00010101010100110
31020121221001212020000
430020201002222212
5203140103000121
65552422322130
7640561212432
oct141041025246
936557055200
1013027781286
11558592a9a3
122636b89346
1312c807ab30
148b831b9c2
15513add526
hex308842aa6

13027781286 has 80 divisors (see below), whose sum is σ = 31468109904. Its totient is φ = 4004634816.

The previous prime is 13027781269. The next prime is 13027781293. The reversal of 13027781286 is 68218772031.

It is a super-3 number, since 3×130277812863 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2750176 + ... + 2754908.

Almost surely, 213027781286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027781286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734054952).

13027781286 is an abundant number, since it is smaller than the sum of its proper divisors (18440328618).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13027781286 is a wasteful number, since it uses less digits than its factorization.

13027781286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13027781286 in words is "thirteen billion, twenty-seven million, seven hundred eighty-one thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1307 2106 2614 3921 4733 7842 9466 11763 14199 16991 23526 28398 33982 35289 42597 50973 61529 70578 85194 101946 105867 123058 127791 152919 184587 211734 255582 305838 369174 383373 458757 553761 766746 917514 1107522 1376271 1661283 2752542 3322566 4983849 6186031 9967698 12372062 18558093 37116186 55674279 80418403 111348558 160836806 167022837 241255209 334045674 482510418 501068511 723765627 1002137022 1447531254 2171296881 4342593762 6513890643 13027781286